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What is the Least Common Multiple of 25698 and 25710?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 25698 and 25710 is 110115930.

LCM(25698,25710) = 110115930

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Least Common Multiple of 25698 and 25710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25698 and 25710, than apply into the LCM equation.

GCF(25698,25710) = 6
LCM(25698,25710) = ( 25698 × 25710) / 6
LCM(25698,25710) = 660695580 / 6
LCM(25698,25710) = 110115930

Least Common Multiple (LCM) of 25698 and 25710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25698 and 25710. First we will calculate the prime factors of 25698 and 25710.

Prime Factorization of 25698

Prime factors of 25698 are 2, 3, 4283. Prime factorization of 25698 in exponential form is:

25698 = 21 × 31 × 42831

Prime Factorization of 25710

Prime factors of 25710 are 2, 3, 5, 857. Prime factorization of 25710 in exponential form is:

25710 = 21 × 31 × 51 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 25698 and 25710.

LCM(25698,25710) = 21 × 31 × 42831 × 51 × 8571
LCM(25698,25710) = 110115930